return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C2H6 (Ethane)

using model chemistry: B1B95/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3D 1A1g
1 2 no D3H 1A1'

Conformer 1 (D3D)

Jump to S1C2
Energy calculated at B1B95/3-21G
 hartrees
Energy at 0K-79.336058
Energy at 298.15K-79.342000
HF Energy-79.336058
Nuclear repulsion energy42.147915
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B1B95/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3078 2944 0.00 185.10 0.01 0.02
2 A1g 1463 1399 0.00 9.40 0.72 0.84
3 A1g 999 956 0.00 8.00 0.29 0.45
4 A1u 309 295 0.00 0.00 0.00 0.00
5 A2u 3078 2945 43.73 0.00 0.00 0.00
6 A2u 1470 1406 9.77 0.00 0.00 0.00
7 Eg 3135 2999 0.00 119.03 0.75 0.86
7 Eg 3135 2999 0.00 119.04 0.75 0.86
8 Eg 1573 1505 0.00 46.03 0.75 0.86
8 Eg 1573 1505 0.00 46.03 0.75 0.86
9 Eg 1258 1203 0.00 3.57 0.75 0.86
9 Eg 1258 1203 0.00 3.57 0.75 0.86
10 Eu 3162 3025 51.55 0.00 0.00 0.00
10 Eu 3162 3025 51.55 0.00 0.00 0.00
11 Eu 1573 1505 14.03 0.00 0.00 0.00
11 Eu 1573 1505 14.03 0.00 0.00 0.00
12 Eu 864 827 9.96 0.00 0.00 0.00
12 Eu 864 827 9.96 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16762.5 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 16036.6 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B1B95/3-21G
ABC
2.67366 0.66392 0.66392

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.768
C2 0.000 0.000 -0.768
H3 0.000 1.021 1.157
H4 -0.884 -0.511 1.157
H5 0.884 -0.511 1.157
H6 0.000 -1.021 -1.157
H7 -0.884 0.511 -1.157
H8 0.884 0.511 -1.157

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.53521.09291.09291.09292.17892.17892.1789
C21.53522.17892.17892.17891.09291.09291.0929
H31.09292.17891.76861.76863.08662.52962.5296
H41.09292.17891.76861.76862.52962.52963.0866
H51.09292.17891.76861.76862.52963.08662.5296
H62.17891.09293.08662.52962.52961.76861.7686
H72.17891.09292.52962.52963.08661.76861.7686
H82.17891.09292.52963.08662.52961.76861.7686

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 110.881 C1 C2 H7 110.881
C1 C2 H8 110.881 C2 C1 H3 110.881
C2 C1 H4 110.881 C2 C1 H5 110.881
H3 C1 H4 108.025 H3 C1 H5 108.025
H4 C1 H5 108.025 H6 C2 H7 108.025
H6 C2 H8 108.025 H7 C2 H8 108.025
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.620      
2 C -0.620      
3 H 0.207      
4 H 0.207      
5 H 0.207      
6 H 0.207      
7 H 0.207      
8 H 0.207      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.682 0.000 0.000
y 0.000 -14.682 0.000
z 0.000 0.000 -15.078
Traceless
 xyz
x 0.198 0.000 0.000
y 0.000 0.198 0.000
z 0.000 0.000 -0.396
Polar
3z2-r2-0.792
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.120 0.000 0.000
y 0.000 3.120 0.000
z 0.000 0.000 3.332


<r2> (average value of r2) Å2
<r2> 30.613
(<r2>)1/2 5.533

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B1B95/3-21G
 hartrees
Energy at 0K-79.331711
Energy at 298.15K 
HF Energy-79.331711
Nuclear repulsion energy41.985212
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B1B95/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1' 3095 2961 0.00      
2 A1' 1489 1424 0.00      
3 A1' 990 947 0.00      
4 A1" 296i 283i 0.00      
5 A2" 3088 2955 45.98      
6 A2" 1468 1405 9.70      
7 E' 3171 3033 43.21      
7 E' 3171 3033 43.21      
8 E' 1585 1516 16.01      
8 E' 1585 1516 16.00      
9 E' 942 902 9.80      
9 E' 942 902 9.80      
10 E" 3148 3012 0.00      
10 E" 3148 3012 0.00      
11 E" 1573 1505 0.00      
11 E" 1573 1505 0.00      
12 E" 1212 1159 0.00      
12 E" 1212 1159 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16547.3 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 15830.8 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B1B95/3-21G
ABC
2.69444 0.65285 0.65285

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.774
C2 0.000 0.000 -0.774
H3 0.000 1.017 1.171
H4 -0.881 -0.509 1.171
H5 0.881 -0.509 1.171
H6 0.000 1.017 -1.171
H7 0.881 -0.509 -1.171
H8 -0.881 -0.509 -1.171

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.54901.09191.09191.09192.19572.19572.1957
C21.54902.19572.19572.19571.09191.09191.0919
H31.09192.19571.76181.76182.34282.93142.9314
H41.09192.19571.76181.76182.93142.93142.3428
H51.09192.19571.76181.76182.93142.34282.9314
H62.19571.09192.34282.93142.93141.76181.7618
H72.19571.09192.93142.93142.34281.76181.7618
H82.19571.09192.93142.34282.93141.76181.7618

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.318 C1 C2 H7 111.318
C1 C2 H8 111.318 C2 C1 H3 111.318
C2 C1 H4 111.318 C2 C1 H5 111.318
H3 C1 H4 107.563 H3 C1 H5 107.563
H4 C1 H5 107.563 H6 C2 H7 107.563
H6 C2 H8 107.563 H7 C2 H8 107.563
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.629      
2 C -0.629      
3 H 0.210      
4 H 0.210      
5 H 0.210      
6 H 0.210      
7 H 0.210      
8 H 0.210      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.667 0.000 0.000
y 0.000 -14.667 0.000
z 0.000 0.000 -14.975
Traceless
 xyz
x 0.154 0.000 0.000
y 0.000 0.154 0.000
z 0.000 0.000 -0.308
Polar
3z2-r2-0.615
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.051 0.000 0.000
y 0.000 3.051 0.000
z 0.000 0.000 3.284


<r2> (average value of r2) Å2
<r2> 30.864
(<r2>)1/2 5.556